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Finding the Fourth Proportional to 206,741.60, 310,138.32 and 101,471.84

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Solution

The fourth proportional to 206,741.60, 310,138.32 and 101,471.84 is: 152,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,741.60 : 310,138.32 = 101,471.84 : x
  2. Step 2: Convert to fraction form
    206,741.60/310,138.32 = 101,471.84/x
  3. Step 3: Cross multiply
    206,741.60x = 310,138.32 × 101,471.84
  4. Step 4: Simplify right side
    206,741.60x = 31,470,305,984.91
  5. Step 5: Solve for x
    x = 31,470,305,984.91/206,741.60
  6. Step 6: Final answer
    x = 152,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.